Answer
I think it is number 5
Step-by-step explanation:
Answer:
A. The ordered pair (5, 3.5) represents 5 lbs. of strawberries cost $3.50.
B. The cost per pound of strawberries is shown at (1, 0.7).
C. The relationship shown in the graph is a direct variation because as the pounds of strawberries increase, the cost also increases.
Explanation:
A. The coordinate is in (x,y). The x-axis represents the pound of strawberries and the y-axis represents the cost of the strawberries.
B. The cost for one pound of strawberries can be calculated to find the exact value of y (cost) when x is 1. The graph shows 5 lbs. of strawberries cost $3.50 so divide $3.50 by 5 lbs. to find the cost per pound of strawberries. 3.5 ÷ 5 = 0.7. On the graph, the cost for one pound of strawberries is at (1, 0.7)
C. A direct variation in a graph is shown when both x and y increase or decrease together. In this case, as the pounds of strawberries increase, the cost of the strawberries also increases.
Critical points is where the derivative (slope) is zero or does not exist. So to do this we have to find the derivative of our function:

So we apply chain rule:
=

Set our first derivative to zero and solve for x:
3(x^2 - 1) * 2x = 0
So we can see that (by plugging in) 0, -1 and 1 makes our solution true
So our critical value is x = 0, x = -1, x = 1
Answer:
See explanation
Step-by-step explanation:
William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.
Factor number 24 and 60:

Find the greatest common factor

Hence, the greatest number of bags William can make is 12.
Each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 6 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 4 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 3 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 2 bags, each of these bags will have
cans of fruit and
cans of vegetables.
Answer:
FV= $2,407.53
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 1,300
Interest rate (i)= 4.5% = 0.045
Number of periods (n)= 14 years
<u>To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 1,300*(1.045^14)
FV= $2,407.53